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Finding the Third Proportional to 331,407 and 518,437

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Solution

The third proportional to 331,407 and 518,437 is: 811,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,407 : 518,437 = 518,437 : x
  2. Step 2: Convert to fraction form
    331,407/518,437 = 518,437/x
  3. Step 3: Cross multiply
    331,407x = 518,437 × 518,437
  4. Step 4: Simplify right side
    331,407x = 268,776,922,969
  5. Step 5: Solve for x
    x = 268,776,922,969/331,407
  6. Step 6: Final answer
    x = 811,017.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.